Three-dimensional Newtonian gravity with cosmological constant and torsion
Abstract In this paper we present an alternative cosmological extension of the three-dimensional extended Newtonian Chern–Simons gravity by switching on the torsion. The theory is obtained as a non-relativistic limit of an enhancement and U(1)-enlargement of the so-called teleparallel algebra and ca...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11210-w |
| _version_ | 1827982986070458368 |
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| author | Patrick Concha Evelyn Rodríguez Gustavo Rubio Paola Yañez |
| author_facet | Patrick Concha Evelyn Rodríguez Gustavo Rubio Paola Yañez |
| author_sort | Patrick Concha |
| collection | DOAJ |
| description | Abstract In this paper we present an alternative cosmological extension of the three-dimensional extended Newtonian Chern–Simons gravity by switching on the torsion. The theory is obtained as a non-relativistic limit of an enhancement and U(1)-enlargement of the so-called teleparallel algebra and can be seen as the teleparallel analogue of the Newtonian gravity theory. The infinite-dimensional extension of our result is also explored through the Lie algebra expansion method. An infinite-dimensional torsional Galilean gravity model is presented which in the vanishing cosmological constant limit reproduces the infinite-dimensional extension of the Galilean gravity theory. |
| first_indexed | 2024-04-09T22:41:46Z |
| format | Article |
| id | doaj.art-96d29af2739140448a8d8df08d0e60c2 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-09T22:41:46Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-96d29af2739140448a8d8df08d0e60c22023-03-22T12:09:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-01-0183111110.1140/epjc/s10052-023-11210-wThree-dimensional Newtonian gravity with cosmological constant and torsionPatrick Concha0Evelyn Rodríguez1Gustavo Rubio2Paola Yañez3Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDepartamento de Física, Universidad De ConcepciónAbstract In this paper we present an alternative cosmological extension of the three-dimensional extended Newtonian Chern–Simons gravity by switching on the torsion. The theory is obtained as a non-relativistic limit of an enhancement and U(1)-enlargement of the so-called teleparallel algebra and can be seen as the teleparallel analogue of the Newtonian gravity theory. The infinite-dimensional extension of our result is also explored through the Lie algebra expansion method. An infinite-dimensional torsional Galilean gravity model is presented which in the vanishing cosmological constant limit reproduces the infinite-dimensional extension of the Galilean gravity theory.https://doi.org/10.1140/epjc/s10052-023-11210-w |
| spellingShingle | Patrick Concha Evelyn Rodríguez Gustavo Rubio Paola Yañez Three-dimensional Newtonian gravity with cosmological constant and torsion European Physical Journal C: Particles and Fields |
| title | Three-dimensional Newtonian gravity with cosmological constant and torsion |
| title_full | Three-dimensional Newtonian gravity with cosmological constant and torsion |
| title_fullStr | Three-dimensional Newtonian gravity with cosmological constant and torsion |
| title_full_unstemmed | Three-dimensional Newtonian gravity with cosmological constant and torsion |
| title_short | Three-dimensional Newtonian gravity with cosmological constant and torsion |
| title_sort | three dimensional newtonian gravity with cosmological constant and torsion |
| url | https://doi.org/10.1140/epjc/s10052-023-11210-w |
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